Viscous incompressible flow by a penalty function finite element method

DOI10.1016/0045-7930(81)90034-7zbMath0466.76027OpenAlexW1993091789MaRDI QIDQ1155462

R. S. Marshall, Juan C. Heinrich

Publication date: 1981

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7930(81)90034-7

zbMATH Keywords

penalty functionprimitive variablestwo dimensionalbilinear and biquadraticcontinuity constraint

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Applications to the sciences (65Z05)

Related Items (11)

Numerical experiments with the lid driven cavity flow problem ⋮ Finite element simulation of buoyancy-driven flows with emphasis on natural convection in a horizontal circular cylinder ⋮ Random-vortex simulation of transient wall-driven flow in a rectangular enclosure ⋮ The effective slip length and vortex formation in laminar flow over a rough surface ⋮ A fine grid finite element computation of two-dimensional high Reynolds number flows ⋮ Numerical simulation of shear-thinning flow problems in mixing vessels ⋮ On mixed convection in a cavity with sinusoidally heated moving lid and uniformly heated and cooled side walls ⋮ Implementation of standard penalty procedures for the solution of incompressible Navier-Stokes equations, employing the element-free Galerkin method ⋮ Fully coupled solution of the equations for incompressible recirculating flows using a penalty-function finite-difference formulation ⋮ A hybrid penalty-pseudocompressibility method for transient incompressible fluid flow ⋮ SUPG stabilized finite element resolution of the Navier--Stokes equations. Applications to water treatment engineering

Cites Work

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• Reduced integration, function smoothing and non-conformity in finite element analysis (with special reference to thick plates)
• Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
• Finite element analysis of incompressible viscous flows by the penalty function formulation
• The solution of viscous incompressible jet and free-surface flows using finite-element methods
• A finite element convergence study for accelerating flow problems
• Iterative procedures for improving penalty function solutions of algebraic systems

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